The angle of a simple pendulum varies as θ = (π/90) sin(πt). Find the pendulum length if g = π² m s⁻².
Physics · Simple Harmonic Motion
JEE Mains

Question

The angle of a simple pendulum varies as θ = (π/90) sin(πt). Find the pendulum length if g = π² m s⁻².

G1 Physics · Accepted Answer

θ=(π/90)sinπt has angular frequency ω=π rad s⁻¹. For a simple pendulum, ω=√(g/l). Given g=π² m s⁻², l=g/ω²=π²/π²=1 m. Required answer: 1.